Jordan played sparingly for the Dolphins last season but was a standout for Eagles coach Chip Kelly when they were at the University of Oregon.
The Delaware County Daily Times also reported that the Eagles included defensive end Brandon Graham, a former first-round pick, along with a second-round draft choice.
Jordan was taken No. 3 overall by the Dolphins a year ago, but his playing time was scarce due to injuries, and he finished with just 26 tackles and two sacks.
But Dolphins coach Joe Philbin remained optimistic about his young pass-rusher, who averaged about 20 snaps per game.
“We feel like with a full offseason, with more time devoted to his fundamentals, he will have a better grasp of the position that he’s playing,” Philbin told ESPN.com. “We do want to do a better job with the numbers and rotating in.”
The Dolphins traded up to select Jordan, so it’s likely they would be looking for an enhanced trade from the Eagles.
If the Eagles can somehow find a way to acquire Jordan, it would be a major upgrade at defensive end. With Trent Cole on one side and Jordan on the other, suddenly the Eagles would be a much more dangerous group in terms of rushing the quarterback.